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We assume that the intermittent sampling intervals in space are bounded.
The sampling intervals in space may be bounded and variable, x_{j + 1} - x_{j} le Delta.
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The diffuse interface occurs where S meets X, over a user-defined transition size in h and therefore an interval in space.
Trajectories are first discretized at regular intervals, in both space and time.
Aiming at the problems of traditional buried tube nitrogen injection that the nitrogen injection spot with intervals in the space causes the failure of continuous nitrogen distribution in goaf, leading to poor inert effect, in addition, the un-recycling of the nitrogen injection pipe causes much resource waste.
However, it is difficult to retrieve the k intervals in linear space.
The cone theory together with Mönch fixed point theorem and a monotone iterative technique is used to investigate the positive solutions for some boundary problems for systems of nonlinear second-order differential equations with multipoint boundary value conditions on infinite intervals in Banach spaces.
Lv and Feng [16] initially introduced some basic conceptions and fundamental results on discrete fractional calculus for any Banach-valued function and also, using of the contraction mapping principle, investigated the existence and uniqueness of solutions for a class of fractional mixed type sum-difference equation boundary value problems on discrete infinite intervals in Banach spaces.
As a consequence, space intervals in three-dimensional space are related to time intervals, thus forming so-called four-dimensional space-time.
Specifically we initially searched a large parameter space defined by U in the interval [0.1; 12.0] and s in the interval [0.01; 1.0], in spaces of 0.05 for each of the parameters.
By employing a fixed point theorem due to Sadovskii, Liu [5] investigated the existence of solutions for the following second-order two-point boundary value problems (BVP for short) on infinite intervals in a Banach space : (1.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com